Quick Question – Is this the best way to do a drawing?

Hi there. Our Social Media Team is doing a drawing, to win a Nook. To enter, one must “Like” our library Facebook page. Which means we need to get the name of everyone who likes us and somehow do a drawing.

I know from a recent card-sorting exercise I did that cutting out hundreds of slips of paper is needlessly time-consuming. We can do this digitally, I believe. And I have a plan. But I’m wondering if anyone has a better suggestion.

Step 1: Get the full list of people who “Like” us from Facebook. This involves clicking “Show More” a few times and copying a big, long list. (Not even 500 people on it, yet, though.)
Step 2: Paste that into TextEdit (Mac’s version of Notepad), to strip out formatting and photos; copy the result
Step 3: Paste into Word, and do find-replace to strip out the “Make Admin” text and all the extra spaces; copy the result
Step 4: Paste into TextEdit, and save as .xls.
Step 5: Open in Excel; now we have a numbered list of everybody
Step 6: Pull up an online random number generator, and generate a number (you can give it bounds, so you don’t get too high a number)
Step 7: Look that number up on the Excel sheet, and that’s our winner.

This seems like a lot of steps for just picking a winner, but can anyone think of a better method?